An improved algorithm for FFT is proposed. The Fourier transforms of a complex discrete sequence with N = 2r points are performed by the operation of (-3) N/2 times of multiplication. The speed of the algorithm is faster than the conventional FFT. The speed up ratio is about 3/(-3).
J. Cooley and J. Tukey, Math. Comput.,19(1965), 297.[2]S. Winograd, Proc. Nat, Acad. Sci. U.S.A.,73(1976), 100.[3]H. F. Silverman, IEEE Trans. on Assp,ASSP-25(1977), 242.[4]V. P. Kolba and T. W. Parks, IEEE Trans.on Assp, ASSP-25(1977), 281.[5]田中公男、青山友纪,情报处理,19(1978), 1091.